It opens down if the lead coefficient is negative
And it shifts to the left by two. Always use the opposite of what is in parenthesis, which in this case is 2.
Answer: 6.4b - 32
Step-by-step explanation:
The value of x when y = 14 is 8.4
<h3 />
<h3>How to solve variation ?</h3>
y, varies directly as x. Therefore,
y ∝ x
Therefore,
y = kx
where
- k =constant of proportionality
Therefore,
10 = 6k
k = 10 / 6
k = 5 / 3
Hence, when y = 14
y = kx
14 = 5 / 3 x
cross multiply
42 = 5x
x = 42 / 5
x = 8.4
learn more on variation here: brainly.com/question/20707320
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![\frac{1}{6}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B6%7D%20)
÷
![\frac{2}{6}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B6%7D%20)
First, apply this following rule:
![a](https://tex.z-dn.net/?f=a%20)
÷
![\frac{b}{x} = a](https://tex.z-dn.net/?f=%20%5Cfrac%7Bb%7D%7Bx%7D%20%3D%20a)
×
![\frac{c}{b}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bc%7D%7Bb%7D%20)
![\frac{1}{6}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B6%7D%20)
×
Second, apply this following rule:
![\frac{a}{b}](https://tex.z-dn.net/?f=%20%5Cfrac%7Ba%7D%7Bb%7D%20)
×
![\frac{c}{d} = \frac{ac}{bd}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bc%7D%7Bd%7D%20%3D%20%20%5Cfrac%7Bac%7D%7Bbd%7D%20)
Third, multiply 1 × 6 to get 6 and 6 × 2 to get 12.
Fourth, find the GCF of 6 and 12.
Factors of 6: 1, 2, 3, 6
Factors of 12: 1, 2, 3, 4, 6, 12
The GCF is 6.
Fifth, divide the numerator by the GCF.
![6](https://tex.z-dn.net/?f=6)
÷
Sixth, divide the denominator by the GCF.
![12](https://tex.z-dn.net/?f=12)
÷
Seventh, collect the new numerator and new denominator.
![\frac{1}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20)
Answer as fraction:
![\frac{1}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20)
Answer as decimal: 0.5